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Finding the Fourth Proportional to 232,549.54, 320,879.72 and 137,043.24

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Solution

The fourth proportional to 232,549.54, 320,879.72 and 137,043.24 is: 189,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,549.54 : 320,879.72 = 137,043.24 : x
  2. Step 2: Convert to fraction form
    232,549.54/320,879.72 = 137,043.24/x
  3. Step 3: Cross multiply
    232,549.54x = 320,879.72 × 137,043.24
  4. Step 4: Simplify right side
    232,549.54x = 43,974,396,479.09
  5. Step 5: Solve for x
    x = 43,974,396,479.09/232,549.54
  6. Step 6: Final answer
    x = 189,096.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.